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Finding the Third Proportional to 37,773.84 and 82,220.06

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Solution

The third proportional to 37,773.84 and 82,220.06 is: 178,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,773.84 : 82,220.06 = 82,220.06 : x
  2. Step 2: Convert to fraction form
    37,773.84/82,220.06 = 82,220.06/x
  3. Step 3: Cross multiply
    37,773.84x = 82,220.06 × 82,220.06
  4. Step 4: Simplify right side
    37,773.84x = 6,760,138,677.50
  5. Step 5: Solve for x
    x = 6,760,138,677.50/37,773.84
  6. Step 6: Final answer
    x = 178,963.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.